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23932020 = 22357192999
BaseRepresentation
bin101101101001…
…0110001110100
31200000212120010
41123102301310
522111311040
62212540220
7410263440
oct133226164
950025503
1023932020
1112566532
128021670
134c5c078
14326d820
15217ae80
hex16d2c74

23932020 has 96 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 5180544.

The previous prime is 23932019. The next prime is 23932021. The reversal of 23932020 is 2023932.

It is an interprime number because it is at equal distance from previous prime (23932019) and next prime (23932021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23932021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6481 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (840000).

Almost surely, 223932020 is an apocalyptic number.

23932020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23932020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

23932020 is an abundant number, since it is smaller than the sum of its proper divisors (56707980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23932020 is a wasteful number, since it uses less digits than its factorization.

23932020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 23932020 is about 4892.0363858009. The cubic root of 23932020 is about 288.1773117233.

Adding to 23932020 its reverse (2023932), we get a palindrome (25955952).

The spelling of 23932020 in words is "twenty-three million, nine hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 2999 3990 5998 7980 8997 11996 14995 17994 20993 29990 35988 41986 44985 56981 59980 62979 83972 89970 104965 113962 125958 170943 179940 209930 227924 251916 284905 314895 341886 398867 419860 569810 629790 683772 797734 854715 1139620 1196601 1259580 1595468 1709430 1994335 2393202 3418860 3988670 4786404 5983005 7977340 11966010 23932020